A polynomial P(x) is divisible by x-5. If P(x) is divided by x-2 then the quotient is polynomial Q(x) and the remainder is 30. What is the remainder when Q(x) is divided by x-5?

Given
P(5)=0, 
P(x)=Q(x)*(x-2)+30
Substitute x=5.
=> P(5)=Q(5)*3+30
=>Q(5)=-30/3=-10.

I donno how to do it using Calculus :(

Posted by Praneeth on 2007-08-13 07:48:36